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Finding the Fourth Proportional to 310,930.55, 466,158.79 and 97,575.40

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Solution

The fourth proportional to 310,930.55, 466,158.79 and 97,575.40 is: 146,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930.55 : 466,158.79 = 97,575.40 : x
  2. Step 2: Convert to fraction form
    310,930.55/466,158.79 = 97,575.40/x
  3. Step 3: Cross multiply
    310,930.55x = 466,158.79 × 97,575.40
  4. Step 4: Simplify right side
    310,930.55x = 45,485,627,579.10
  5. Step 5: Solve for x
    x = 45,485,627,579.10/310,930.55
  6. Step 6: Final answer
    x = 146,288.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.